Machine learning line bundle connections

Autor: Anthony Ashmore, Rehan Deen, Yang-Hui He, Burt A. Ovrut
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Physics Letters B, Vol 827, Iss , Pp 136972- (2022)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2022.136972
Popis: We study the use of machine learning for finding numerical hermitian Yang–Mills connections on line bundles over Calabi–Yau manifolds. Defining an appropriate loss function and focusing on the examples of an elliptic curve, a K3 surface and a quintic threefold, we show that neural networks can be trained to give a close approximation to hermitian Yang–Mills connections.
Databáze: Directory of Open Access Journals